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116651772 = 22332115119
BaseRepresentation
bin1101111001111…
…11011011111100
322010111112011000
412330333123330
5214330324042
615324130300
72614344426
oct674773374
9263445130
10116651772
115a935226
1233096990
131b223c23
14116c7816
15a39374c
hex6f3f6fc

116651772 has 48 divisors (see below), whose sum is σ = 303923200. Its totient is φ = 38692080.

The previous prime is 116651767. The next prime is 116651779. The reversal of 116651772 is 277156611.

116651772 is a `hidden beast` number, since 11 + 66 + 517 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116651779) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20229 + ... + 25347.

Almost surely, 2116651772 is an apocalyptic number.

116651772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116651772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151961600).

116651772 is an abundant number, since it is smaller than the sum of its proper divisors (187271428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116651772 is a wasteful number, since it uses less digits than its factorization.

116651772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5343 (or 5335 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 116651772 is about 10800.5449862495. The cubic root of 116651772 is about 488.6116077408.

The spelling of 116651772 in words is "one hundred sixteen million, six hundred fifty-one thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 211 422 633 844 1266 1899 2532 3798 5119 5697 7596 10238 11394 15357 20476 22788 30714 46071 61428 92142 138213 184284 276426 552852 1080109 2160218 3240327 4320436 6480654 9720981 12961308 19441962 29162943 38883924 58325886 116651772